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Finding the Fourth Proportional to 319.65, 441.09 and 221.24

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Solution

The fourth proportional to 319.65, 441.09 and 221.24 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.65 : 441.09 = 221.24 : x
  2. Step 2: Convert to fraction form
    319.65/441.09 = 221.24/x
  3. Step 3: Cross multiply
    319.65x = 441.09 × 221.24
  4. Step 4: Simplify right side
    319.65x = 97,586.75
  5. Step 5: Solve for x
    x = 97,586.75/319.65
  6. Step 6: Final answer
    x = 305.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.